Question

Find the average rate of

change for y = x2 – 3x
over the interval x = -2
to x = 3.
fe
the

Answer 1

- 2

Explanation:

The rate of change of y = f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ - 2, 3 ]

f(b) = f(3) = 3² - 3(3) = 9 - 9 = 0

f(a) = f(- 2) = (- 2)² - 3(- 2) = 4 + 6 = 10, thus

average rate of change =
`(0-10)/(3-(-2))` =
`(-10)/(5)` = - 2